You're at a clothing store that dyes your clothes while you wait. You get to pick from
44
4
4
pieces of clothing (shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange).
If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with socks that aren't blue?
Answers
Answered by
2
Given:
Number of types of pieces of clothing = 4
Shirt , pants, socks, hat.
To Find:
What is the probability that you'll end up with socks that aren't blue.
Solution:
- Since we have 4 pieces of clothing to choose from, assume that each piece have equal probability of getting chosen.
- P( choosing Socks) = 1/4
- From practical knowledge we can see that both the events are independent.
- P(choosig socks not blue) = P(socks)xP(not blue)
Probability of choosing each colors will be equal.
- P(choosing blue) = 1/3
- P(not choosing blue) = 1 - 1/3 = 2/3
- P(choosing socks not blue) = 1/4 x 2/3 = 1/6
The probability that you'll end up with socks that aren't blue is 1/6.
Similar questions